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Finding the Third Proportional to 230,688.75 and 349,220.25

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Solution

The third proportional to 230,688.75 and 349,220.25 is: 528,655.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,688.75 : 349,220.25 = 349,220.25 : x
  2. Step 2: Convert to fraction form
    230,688.75/349,220.25 = 349,220.25/x
  3. Step 3: Cross multiply
    230,688.75x = 349,220.25 × 349,220.25
  4. Step 4: Simplify right side
    230,688.75x = 121,954,783,010.06
  5. Step 5: Solve for x
    x = 121,954,783,010.06/230,688.75
  6. Step 6: Final answer
    x = 528,655.09

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.